H∞ performance of preview control systems

Automatica

Volumn 39, Issue 4, 2003, Pages 693-701

  Kojima, Akira ^a   Ishijima, Shintaro ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

H control; Operator Riccati equation; Predictive control; Preview control; Tracking system

Indexed keywords

HAMILTONIANS; MATRIX ALGEBRA; PERFORMANCE; PROBLEM SOLVING; RICCATI EQUATIONS;

PREVIEW CONTROL SYSTEMS;

CONTROL SYSTEMS;

EID: 0037400182     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00286-8     Document Type: Article

References (14)

1. ∞ optimal tracking with preview IEEE Transactions on Automatic Control. AC-42(2):1995;270-276.
2. Datko R. Extending a theorem of A.M. Liapunov to Hilbert space. Journal of Mathematical Analysis and Applications. 32:1970;610-616.
3. ∞ norm bound and relations to risk sensitivity System Control and Letters. 11:1988;167-172.
4. Hayase M., Ichikawa K. Optimal servosystem utilizing future value of desired function. SICE Transactions. 5(1):1969;86-94. (in Japanese).
5. ∞ control and filtering with initial uncertainty for infinite dimensional systems. International Journal of Robust and Nonlinear Control, 6(5), 431-452.
6. Kojima A., Ishijima S. Robust controller design for delay systems in the gap-metric. IEEE Transactions on Automatic Control. AC-40(2):1995;370-374.
7. ∞ control for delay systems: Explicit formulas and game-theoretic interpretations. 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 2103-2109.
8. Kojima A., Ishijima S. LQ preview synthesis. Optimal control and worst-case analysis IEEE Transactions on Automatic Control. AC-44(2):1999;352-357.
9. Pritchard A.J., Salamon D. The linear-quadratic control problem for retarded systems with delays in control and observation. IMA Journal of Mathematical Control and Information. 2:1985;335-361.
10. ∞ setting A game theory approach IEEE Transactions on Automatic Control. AC-40(5):1995;841-852.
11. Takaba K. Robust servomechanism with preview action for polytopic uncertain systems. International Journal of Robust and Nonlinear Control. 10(2):2000;101-111.
12. Tomizuka M. Optimal continuous finite preview problem. IEEE Transactions on Automatic Control. AC-20(6):1975;362-365.
13. Uchida K., Shimemura E., Kubo T., Abe N. The linear-quadratic optimal control approach to feedback control design for systems with delay. Automatica. 24(6):1988;773-780.
14. ∞ -control for distributed parameter systems: A state-space approach. Birkhäuser, Boston.